Tính GTBT chứa căn:
a,\(\dfrac{2}{4-3\sqrt{2}}\)-\(\dfrac{2}{4+3\sqrt{2}}\)
b,\(\dfrac{2}{1+\sqrt{2}}\)+\(\dfrac{2}{1-\sqrt{2}}\)
c,\(\left(\sqrt{14}-3\sqrt{2}\right)^2+6\sqrt{28}\)
d,\(\left(\sqrt{28}-2\sqrt{14}+\sqrt{7}\right).\sqrt{7}+7\sqrt{8}\)
e,\(\left(\sqrt{6}-\sqrt{5}\right)^2-2\sqrt{120}\)
Rút gọn
\(A=\sqrt{63}-2\sqrt{175}+\sqrt{252}-\dfrac{1}{7}\sqrt{28}\)
tính
\(\sqrt{3-2\sqrt{2}}\)
\(\sqrt{7+4\sqrt{3}}\)
\(\sqrt{28-10\sqrt{3}}\)
tính
a/ (\(\sqrt{2006}\)- \(\sqrt{2005}\)).(\(\sqrt{2006}\)+ \(\sqrt{2005}\))
b/ (\(\frac{1}{7-4\sqrt{3}}\)+ \(\frac{2}{7+4\sqrt{3}}\)).(21+4\(\sqrt{3}\))
c/ \(3\sqrt{\frac{9}{8}}\)- \(\sqrt{\frac{49}{2}}\)+ \(\sqrt{\frac{25}{18}}\)
d/ ( \(5\sqrt{28}-2\sqrt{63}+3\sqrt{112}\)) : \(\sqrt{7}\)
e/ \(\left(\sqrt{5}+\sqrt{3}\right)\sqrt{8-2\sqrt{15}}\)
f/ (\(\frac{4\sqrt{21}-4\sqrt{15}-\sqrt{14}+\sqrt{10}}{4\sqrt{6}-2+4\sqrt{15}-\sqrt{10}}\)
tính
a/ (\(\sqrt{2006}\)- \(\sqrt{2005}\)).(\(\sqrt{2006}\)+ \(\sqrt{2005}\))
b/ (\(\frac{1}{7-4\sqrt{3}}\)+ \(\frac{2}{7+4\sqrt{3}}\)).(21+4\(\sqrt{3}\))
c/ \(3\sqrt{\frac{9}{8}}\)- \(\sqrt{\frac{49}{2}}\)+ \(\sqrt{\frac{25}{18}}\)
d/ ( \(5\sqrt{28}-2\sqrt{63}+3\sqrt{112}\)) : \(\sqrt{7}\)
e/ \(\left(\sqrt{5}+\sqrt{3}\right)\sqrt{8-2\sqrt{15}}\)
f/ (\(\frac{4\sqrt{21}-4\sqrt{15}-\sqrt{14}+\sqrt{10}}{4\sqrt{6}-2+4\sqrt{15}-\sqrt{10}}\)
Rút gọn căn bậc hai theo HẰNG ĐẲNG THỨC số 1 và 2:
1) \(\sqrt{28-10\sqrt{3}}\)
2) \(\sqrt{123+22\sqrt{2}}\)
3) \(\sqrt{7-3\sqrt{5}}\)
Bài 1: Thực hiện phép tính:
a) \(\sqrt{\sqrt{28+16\sqrt{3}}}\)
b) \(\sqrt{7+4\sqrt{3}}\)
c) \(\sqrt{\sqrt{56-24\sqrt{5}}}\)
d) \(\sqrt{12-2\sqrt{11}}\)
e) \(\sqrt{9+4\sqrt{2}}\)
Mọi người giúp e vs ạ, hứa sẽ tick, e cảm ơn!!
a) \(\sqrt{13-4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\)
b) \(\sqrt{6+2\sqrt{5}}+\sqrt{6-2\sqrt{5}}\)
c) \(\sqrt{4+2\sqrt{3}}-\sqrt{4-2\sqrt{3}}\)
d) \(\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\)
e) \(\sqrt{9+4\sqrt{5}}\)
f) \(\sqrt{23+8\sqrt{7}}\)
rút gọn biểu thức
a, \(\dfrac{1}{\sqrt{7-\sqrt{24}+1}}-\dfrac{1}{\sqrt{7+\sqrt{24}+1}}\)
b,\(\sqrt{\dfrac{3+\sqrt{5}}{3-\sqrt{5}}}+\sqrt{\dfrac{3-\sqrt{5}}{3+\sqrt{5}}}\)
c,\(\dfrac{4+\sqrt{7}}{3\sqrt{2}+\sqrt{4}+\sqrt{7}}+\dfrac{4-\sqrt{7}}{3\sqrt{7}-\sqrt{4}-\sqrt{7}}\)